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Topologically defined classes of going-down domains
Author(s):
Ira J.
Papick
Journal:
Bull. Amer. Math. Soc.
81
(1975),
718-721.
MSC (1970):
Primary 13A15, 13F05;
Secondary 54C10
MathSciNet review:
0379481
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References |
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Additional information
References:
- 1.
- C. H. Brase, A note on intersections of valuation ideals, Proc. Amer. Math. Soc. 38 (1973), 37-39. MR 46 #9019. MR 309915
- 2.
- J. Dawson and D. E. Dobbs, On going-down in polynomial rings, Canad. J. Math. 26 (1974), 177-184. MR 330152
- 3.
- D. E. Dobbs, On going-down for simple overrings, Proc. Amer. Math. Soc. 39 (1973), 515-519. MR 417152
- 4.
- D. E. Dobbs, On going-down for simple overrings. II, Comm. Algebra 1 (1974), 439-458. MR 364225
- 5.
- D. E. Dobbs and I. J. Papick, On going-down for simple overrings. III, Proc. Amer. Math. Soc. (to appear). MR 417153
- 6.
- D. E. Dobbs, Ascent and descent of going-down rings for integral extensions (submitted).
- 7.
- D. Ferrand, Morphismes entiers universellement ouverts (manuscript).
- 8.
- A. Grothendieck, Éléments de géométrie algébrique. IV. Étude locale des schemas et des morphismes de schémas. I, Rédigés avec la collaboration de J. Dieudonne, Inst. Hautes Études Sci. Publ. Math. No. 20 (1964). MR 30 #3885. MR 173675
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- W. J. Lewis, The spectrum of a ring as a partially ordered set, J. Algebra 25 (1973), 419-434. MR 47 #3361. MR 314811
- 10.
- W. S. Massey, Algebraic topology: An introduction, Harcourt, Brace and World, New York, 1967. MR 35 #2271. MR 211390
- 11.
- H. Matsumura, Commutative algebra, Benjamin, New York, 1970. MR 42 #1813. MR 266911
- 12.
- S. McAdam, Going down and open extensions, Canad. J. Math. (to appear). MR 357382
- 13.
- I. J. Papick, Ph. D. Dissertation, Rutgers University, New Brunswick, N. J., 1975.
- 14.
- M. Raynaud, Anneaux locaux henséliens, Lecture Notes in Math., vol. 169, Springer-Verlag, Berlin and New York, 1970. MR 43 #3252. MR 277519
- 15.
- F. Richman, Generalized quotient rings, Proc. Amer. Math. Soc. 16 (1965), 794-799. MR 31 #5880. MR 181653
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Additional Information:
DOI:
10.1090/S0002-9904-1975-13835-3
PII:
S 0002-9904(1975)13835-3
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